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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 65
FINITE ELEMENTS: TECHNIQUES AND DEVELOPMENTS Edited by: B.H.V. Topping
Paper VII.1
Vibration of Plates using Hybrid-Trefftz Elements J. Petrolito
Division of Physical Sciences and Engineering, La Trobe University, Bendigo, Victoria, Australia J. Petrolito, "Vibration of Plates using Hybrid-Trefftz Elements", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 159-164, 2000. doi:10.4203/ccp.65.7.1
Abstract
This paper discusses the development of finite elements
using a hybrid-Trefftz formulation for the dynamic analysis
of thick plates. Independent interpolations are used
for the internal and inter-element displacements and rotations.
The internal interpolations are chosen so that the
homogeneous static equations of equilibrium are exactly
satisfied, and this avoids the locking problem. The formulation
can be used to develop elements with arbitrary
polygonal shapes. Two examples are presented to demonstrate
the accuracy of some typical elements derived from
this formulation.
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